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Finding the Fourth Proportional to 371.94, 512.37 and 332.34

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Solution

The fourth proportional to 371.94, 512.37 and 332.34 is: 457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.94 : 512.37 = 332.34 : x
  2. Step 2: Convert to fraction form
    371.94/512.37 = 332.34/x
  3. Step 3: Cross multiply
    371.94x = 512.37 × 332.34
  4. Step 4: Simplify right side
    371.94x = 170,281.05
  5. Step 5: Solve for x
    x = 170,281.05/371.94
  6. Step 6: Final answer
    x = 457.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.